Identifying f, f', and f'' based on graphs

Worked example matching a function, its first derivative and its second derivative to the appropriate graph.

[oclockify]

Thank you so much for teaching me what my professor never could. I got a 100 on my final because of you.

[Gracemillerak]

Thank you so much!!! I completely wasn't understanding until I watched your video. You made it so simple and easy!!!

[deaper]

I hope this is correct,
f'(x)<0 is a decreasing function, f'(x)>0 is an increasing function and f'(x)=0 is a stationary point. f"(x)<0 is a point on the maxima, f"(x)>0 is a point on the minima and f"(x)=0 is a point of deflection.

[joshiifruit]

this concept is exactly what I needed. Thank you so much!

[totalcoward]

I just looked at this vids thumbnail for like 40 seconds figuring out which was which based on the slopes of the lines, only to realize that they were already labeled. At least I got them right ^^"

[sadhgurusfunniestandwittie]

How can a twice differentiable function have more than 2 roots?

[raghavvasudevan]

Thank you Master Khan, my understanding is better now

[mochaboba]

will there always be three points where the slope of horizontal tangent line is 0 for all the polynomial with x^4?

[lokeshnaidu]

Can we find f''(x) itself in f(x) graph, so in order to find inflection points, that's my doubt

[IbytheGOAT]

where do u live? ima find u and force u to be my frickin new professor

[conradkotze]

ok, I still don't know what f f' f" means but this I the closest I got to try to make sense of things.

[faithwangui]

How do I know the original "f" graph just by looking?